The vertical angles are congruent (have the same measures).
Therefore you have the equation:
∠E = ∠F → 9x + 12 = 3x + 24 |-12
9x = 3x + 12 |-3x
6x = 12 |:6
x = 2
The total angle inside the U-shaped is 180 degree.
110 + (8x-10) = 180
8x-10 = 70
8x = 80
x = 10
I'm going to assume you pasted the question and answers and the fractions for the slope didn't come up.
Solve for the slope using the given values.
Slope formula: y2-y1/x2-x1
= 8-5/5-0
= 3/5
Point slope form: y - y1 = m(x - x1)
Using the point (5, 8) and the slope (3/5), it should look like:
y - 8 = 3/5(x - 5)
Best of Luck!
Answer:
D
Step-by-step explanation:
View the process in the above picture.